1001121022091 has 8 divisors (see below), whose sum is σ = 1002696634368. Its totient is φ = 999546457000.

The previous prime is 1001121022049. The next prime is 1001121022133. The reversal of 1001121022091 is 1902201211001.

It is an interprime number because it is at equal distance from previous prime (1001121022049) and next prime (1001121022133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001121022091 - 2¹⁴ = 1001121005707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001121222091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662836 + ... + 2183406.

It is an arithmetic number, because the mean of its divisors is an integer number (125337079296).

Almost surely, 2^{1001121022091} is an apocalyptic number.

1001121022091 is a deficient number, since it is larger than the sum of its proper divisors (1575612277).

1001121022091 is an equidigital number, since it uses as much as digits as its factorization.

1001121022091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523593.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 1001121022091 its reverse (1902201211001), we get a palindrome (2903322233092).

The spelling of 1001121022091 in words is "one trillion, one billion, one hundred twenty-one million, twenty-two thousand, ninety-one".